CHAOS SUPPRESSION IN FLOWS USING PROPORTIONAL PRAISES IN THE SYSTEM VARIABLES

In this work a detailed analysis of a recently introduced chaos suppre ssion method through proportional perturbations in the system variable s [M.A. Matias and J. Guemez, Phys. Rev. Lett. 72, 1455 (1994)] is pre sented. The method does not require any previous knowledge of the syst em dynamics and could be specially useful for those systems, e.g., che mical or biological, for which it may be advantageous to act on the sy stem variables rather than on the parameters. The performance of the m ethod is illustrated with several autonomous and nonautonomous flows, including issues such as the possibility of stabilizing different peri odic of fixed point behaviors. Finally, a quantitative relationship am ong the parameters of the method is sought in terms of the highest Lya punov exponent of the system.